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Finding the Fourth Proportional to 8.48, 12.78 and 8.14

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Solution

The fourth proportional to 8.48, 12.78 and 8.14 is: 12.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.48 : 12.78 = 8.14 : x
  2. Step 2: Convert to fraction form
    8.48/12.78 = 8.14/x
  3. Step 3: Cross multiply
    8.48x = 12.78 × 8.14
  4. Step 4: Simplify right side
    8.48x = 104.03
  5. Step 5: Solve for x
    x = 104.03/8.48
  6. Step 6: Final answer
    x = 12.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.